46022448789504 has 1536 divisors, whose sum is σ = 160691102208000. Its totient is φ = 12866804121600.

The previous prime is 46022448789491. The next prime is 46022448789509. The reversal of 46022448789504 is 40598784422064.

It is a happy number.

46022448789504 is a `hidden beast` number, since 4 + 6 + 0 + 2 + 2 + 4 + 48 + 7 + 89 + 504 = 666.

46022448789504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46022448789509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 139040630619 + ... + 139040630949.

It is an arithmetic number, because the mean of its divisors is an integer number (104616603000).

Almost surely, 2^{46022448789504} is an apocalyptic number.

46022448789504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46022448789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80345551104000).

46022448789504 is an abundant number, since it is smaller than the sum of its proper divisors (114668653418496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46022448789504 is a wasteful number, since it uses less digits than its factorization.

46022448789504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 46022448789504 in words is "forty-six trillion, twenty-two billion, four hundred forty-eight million, seven hundred eighty-nine thousand, five hundred four".